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artcher [175]
3 years ago
9

A rectangular yard is enclosed by 100 meters of fencing. The table shows some possible values for the length and width of the ya

rd.
>The area is in square meters<

Length (meters): Width (meters): Area:
10 40 400
20 30 _
25 25 625
35 15 525
40 _ _


1. Complete the table with the missing values
Mathematics
1 answer:
Kryger [21]3 years ago
5 0
10 40 400
20 30 600
25 25 625
35 15 525
40 60 2400
I think
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Zielflug [23.3K]

Answer:

The area of the associated sector is \frac{25}{24}\pi \ in^{2}  

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The circumference of a circle is equal to

C=2\pi r

we have

C=5\pi\ in

substitute and solve for r

5\pi=2\pi r

r=2.5\ in

step 2

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we know that

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A=\pi r^{2}

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r=2.5\ in

substitute

A=\pi (2.5^{2})=6.25\pi\ in^{2}

step 3

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we know that

2\pi\ radians subtends the complete circle of area 6.25\pi\ in^{2}

so

by proportion

Find the area of a sector with a central angle of \pi/3\ radians

\frac{6.25\pi }{2\pi} =\frac{x}{\pi/3}\\x=6.25*(\pi/3)/2\\ \\x=\frac{25}{24}\pi \ in^{2}

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3 years ago
The distance between the two points rounding to the nearest tenth<br> (-8,-6) and (-3,-4)
Lesechka [4]

Answer:

5.4

Step-by-step explanation:

To find the distance between two points, (x_1,y_1) and (x_2,y_2), plug them into the following equation:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(-3-(-8))^2+(-4-(-6))^2}

Two negatives make a positive

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Therefore, the distance between the two points rounded to the nearest tenth is 5.4.

I hope this helps!

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3 years ago
Tom opens a bank account and makes an initial deposit of $500. The banker tells Tom that he is going to receive
Katena32 [7]

Bank balance after 15 years is $950

Step-by-step explanation:

  • Step 1: Find the simple interest on the principal amount using the formula SI = PRT/100 where Principal (P) = $500, Rate of Interest (R) = 6% and Time(T) = 15 years

⇒ SI = 500 × 6 × 15/100 = $450

  • Step 2: Find total amount using the formula Amount = P + SI

⇒ Amount = 500 + 450 = $950

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Answer:

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